Charged Frenkel biexcitons in organic molecular crystals

Agranovich, V.M.; Dubovsky, O. A.; Камчатнов, А. М.

doi:10.1134/1.1378115

Cited by 6 publications

(18 citation statements)

References 5 publications

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“…Physically, this description will clarify why the conception of the exciton based on the collective operators of many atoms can be valid only in the case of low excitation. We first discuss SU(2) algebra structure of excitonic operators for the two-level many-atom system since the SU(3) case for the 2D crystal slab containing V-type three-level atoms shares the same basic idea as that of SU (2). The detailed discussions for the SU(3) case will follow that of SU(2) in this appendix.…”

Section: Discussionmentioning

confidence: 99%

“…do not span a product algebra SU(2)⊗SU (2). A straightforward calculation in Appendix A checks that they satisfy SU(3) algebra.…”

Section: Two Mode Exciton System With Su(3) Structurementioning

confidence: 99%

“…Furthermore, the unique number N L , atom number, determines the dimensions N L + 1 of representations of the two SU(2) subalgebras. Since we understood the single-mode exciton in terms of the large N L limit of representations of SU (2), it is easy to prove for SU (3) case that, in a very large N L and the low density excitation region, the above defined collective operatorsÂ (l) andB (l) become the bosonic ones obeying the commutation relation…”

Section: Two Mode Exciton System With Su(3) Structurementioning

confidence: 99%

“…(21) and (22), the two-mode excitons decay independently in an exponential rule. Even though our treatment seems to be bold, we can get a useful result that the decay rates of excitons in two dimensional crystal slab are proportional to the enhanced factor (λ/a) 2 . In section V, we will consider a more complex case, in which a non-perturbation approach is used to restudy the radiative decay rates of the two-mode excitons without WWA, and the effects of MPP will be also investigated there.…”

Section: Quantum Interference Effect In Light Intensitymentioning

confidence: 99%

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Superradiance of low-density Frenkel excitons in a crystal slab of three-level atoms: The quantum interference effect

et al. 2003

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We systematically study the fluorescence of low density Frenkel excitons in a crystal slab containing NT V-type three-level atoms. Based on symmetric quasi-spin realization of SU(3) in large N limit, the two-mode exciton operators are invoked to depict various collective excitations of the collection of these V-type atoms starting from their ground state. By making use of the rotating wave approximation, the light intensity of radiation for the single lattice layer is investigated in detail. As a quantum coherence effect, the quantum beat phenomenon is discussed in detail for different initial excitonic states. We also test the above results analytically without the consideration of the rotating wave approximation and the self-interaction of radiance field is also included.

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Section: Discussionmentioning

confidence: 99%

“…do not span a product algebra SU(2)⊗SU (2). A straightforward calculation in Appendix A checks that they satisfy SU(3) algebra.…”

Section: Two Mode Exciton System With Su(3) Structurementioning

confidence: 99%

Section: Two Mode Exciton System With Su(3) Structurementioning

confidence: 99%

Section: Quantum Interference Effect In Light Intensitymentioning

confidence: 99%

See 2 more Smart Citations

Superradiance of low-density Frenkel excitons in a crystal slab of three-level atoms: The quantum interference effect

et al. 2003

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“…12 The effective exciton mass can be determined from slab calculations 13 and m ex = 10 m e is a value typically reported for polyacene molecular crystals. 14 Within the cavity, the photon dispersion is given bȳ…”

Section: Polaritons In Microcavitiesmentioning

confidence: 99%

Estimating the conditions for polariton condensation in organic thin-film microcavities

Bittner

Silva

2012

The Journal of Chemical Physics

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We examine the possibility of observing Bose condensation of a confined two-dimensional polariton gas in an organic quantum well. We deduce a suitable parameterization of a model Hamiltonian based upon the cavity geometry, the biexciton binding energy, and similar spectroscopic and structural data. By converting the sum-over-states to a semiclassical integration over d-dimensional phase space, we show that while an ideal 2-D Bose gas will not undergo condensation, an interacting gas with the Bogoliubov dispersion H(p) ≈ sp close to p = 0 will undergo Bose condensation at a given critical density and temperature. We show that Tc/ √ ρc is sensitive to both the cavity geometry and to the biexciton binding energy. In particular, for strongly bound biexcitons, the non-linear interaction term appearing in the Gross-Pitaevskii equation becomes negative and the resulting ground state will be a localized soliton state rather than a delocalized Bose condensate.

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On the radiative lifetime of free-moving two-dimensional excitons

Paraskevov¹

2012

Journal of Luminescence

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A simple microscopic mechanism explaining the linear dependence of the radiative lifetime of freemoving two-dimensional excitons on their effective temperature is suggested. It is shown that there exists a characteristic effective temperature (of about few Kelvin) defined by the exciton-acoustic phonon interaction at which the radiative lifetime is minimal. Below this temperature the lifetime starts to increase with decreasing temperature. The correspondence with previous theoretical and experimental results is discussed.

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Charged Frenkel biexcitons in organic molecular crystals

Cited by 6 publications

References 5 publications

Superradiance of low-density Frenkel excitons in a crystal slab of three-level atoms: The quantum interference effect

Superradiance of low-density Frenkel excitons in a crystal slab of three-level atoms: The quantum interference effect

Estimating the conditions for polariton condensation in organic thin-film microcavities

On the radiative lifetime of free-moving two-dimensional excitons

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